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Bess [88]
4 years ago
13

Quadrilateral $abcd$ is a trapezoid with $ab$ parallel to $cd$. we know $ab = 20$ and $cd = 12$. what is the ratio of the area o

f triangle $acb$ to the area of the trapezoid $abcd$? express your answer as a common fraction.

Mathematics
1 answer:
alekssr [168]4 years ago
4 0
Draw a diagram to illustrate the problem as shown below.

The area of triangle acb is
A₁ = (1/2)*20*h = 10h

The area of trapezoid abcd is
A₂ = (1/2)*(20+12)*h = 16h

The ratio A₁/A₂ is
A₁/A₂ = (10h)/(16) = 5/8

Answer:
The ratio of triangle acb to the area of trapezoid abcd is 5/8.

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Need help ASAP pls. :)​
Troyanec [42]

Answer:

B

Step-by-step explanation:

because we just multiply the bottom equation by - and we eliminate 7y. now we have -2x=-10 to get x we divide -10 by -2 and get the answer

7 0
3 years ago
At the fair, 2 corn dogs and 3 pretzels cost $13, and 5 corn dogs and 6 pretzels costs $28. How much
NemiM [27]
Let x represent the cost of corn dogs. Let y represent the cost of pretzels.

2x+3y=13
5x+6y=28

Multiply the first equation by two so that we can eliminate y.

Subtract:
4x+6y=26
5x+6y=28

-x=-2
x=2

4(2)+6y=26
8+6y=26
6y=18
y=3

3 x 2 = 6
6+2=8

Therefore, 2 pretzels and a corn dog would cost $8.
5 0
3 years ago
What is m∠A ?<br><br><br><br><br><br> Enter your answer in the box.<br><br> °
slava [35]
The definition of the interior angles of a triangle states that interior angles of a triangle add up to 180º.

This means we can find the measure of <CED: 

<CED + <ECD + <CDE = 180º
<CED = 180º - <ECD - <CDE
<CED = 180º - 43º - 35º
<CED = 102º

By the definition of vertical angles states that a pair of vertical angles are congruent.

This means <CED = <AEB
If <CED = 102º 
Then <AEB = 102º

By definition of the interior angles of triangles:
<AEB + <EBA + <BAE = 180º

<AEB = 102º
<EBA = 18º

102º + 18º + <BAE(<A) = 180º

<BAE = 180º - 102º - 18º
<BAE = 60º

<BAE is another way to say <A

<span>m∠A  = 60º</span>




5 0
3 years ago
Read 2 more answers
Suppose y varies inversely as x, and y = 16 when x = 1/2. Find y when x = 17.
MArishka [77]

<u>Finding the proportionality constant</u> :

  • y = k/x
  • 16 = k/(1/2)
  • <u>k = 8</u>

<u>Finding y when x = 17</u> :

  • y = 8/(17)
  • y = 8/17

The value of y is <u>8/17</u> when x = 17.

5 0
2 years ago
Twelve out of 18 students in Mrs. Marlin's class buys pizza for lunch on Fridays.at this rate,if there are 240 students in the e
Studentka2010 [4]
First, divide 240 by 18 to find how many times 18 goes into 240

240/18=14 (rounded up from the original 13.3 repeating decimal because it has to do with people and you cant have a partial human and there is more than .0 there)

then multiply the number of people who do get pizza by that number

12*14=168
8 0
3 years ago
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